Paper Information

Journal:   IRANIAN JOURNAL OF PHYSICS RESEARCH   FALL 2007 , Volume 7 , Number 3; Page(s) 0 To 0.
 
Paper: 

A NUMERICAL METHOD TO SOLVE THE LIPPMANN-SCHWINGER INTEGRAL EQUATION WITH RADIAL INTERACTION POTENTIALS

 
 
Author(s):  GHANBARI ADIVI E.*
 
* PHYSICS DEPARTMENT, UNIVERSITY OF ISFAHAN, ISFAHAN, IRAN
 
Abstract: 

A method is presented to reduce the singular Lippmann-Schwinger integral equation to a simple matrix equation. This method is applied to calculate the matrix elements of the reaction and transition operators, respectively, on the real axis and on the complex plane. The phase shifts and the differential scattering amplitudes are computable as well as the differential cross sections if the R- and/or T-matrix elements on the energy-shell are known. The method is applicable by using the Gaussian quadratures based on the Legenre, Laguer Chebyshev and shifted Chebyshev polynomials. Choosing the nodal points and weight functions depends on the aspects of the problem.

 
Keyword(s): LIPPMANN-SCHWINGER EQUATION, TRANSITION MATRIX, REACTION MATRIX, PHASE SHIFTS, GAUSSIAN QUADRATURES
 
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